35 is what percent of 76.85 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 76.85 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 76.85, so we can write it down as 100%=76.85.
4. We know, that x% equals 35 of the output value, so we can write it down as x%=35.
5. Now we have two simple equations:
1) 100%=76.85
2) x%=35
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=76.85/35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35 is what percent of 76.85

100%/x%=76.85/35
(100/x)*x=(76.85/35)*x       - we multiply both sides of the equation by x
100=2.1957142857143*x       - we divide both sides of the equation by (2.1957142857143) to get x
100/2.1957142857143=x
45.543266102798=x
x=45.543266102798

now we have:
35 is 45.543266102798% of 76.85